International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Univalent Biharmonic Mappings and Linearly Connected Domains

  • Zayid Abdulhadi1
  • L. El Hajj2*
  1. American University of Sharjah
  2. AMERICAN UNIVERSITY IN DUBAI

* Corresponding author

Abstract

A four times continuously differentiable complex valued function F = u + iv in a simply connected domain Ω is biharmonic if the laplacian of F is harmonic. Every biharmonic mapping F in Ω has the representation F = |z|^2 G + K, where G and K are harmonic in Ω. This paper investigates the relationship between the univalence of F and of K using the concept of linearly connected domains.

How to Cite

Z. Abdulhadi, L. El Hajj, Univalent Biharmonic Mappings and Linearly Connected Domains, Int. J. Anal. Appl. 9 (2015), 1–8.

BibTeX
@article{Abdulhadi2015,
  author  = {Abdulhadi, Zayid and El Hajj, L.},
  title   = {Univalent Biharmonic Mappings and Linearly Connected Domains},
  journal = {Int. J. Anal. Appl.},
  volume  = {9},
  year    = {2015},
  pages   = {1--8},
  doi     = {}
}

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